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《Acta Mathematica Sinica(Chinese Series)》 2019-01
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Entire Solutions of Systems of Complex Differential-difference Equations

Cui Ping ZENG;Bing Mao DENG;Ming Liang FANG;Department of Mathematics, Guangdong University of Finance;Institute of Applied Mathematics,South China Agricultural University;  
In this paper,using theory of value distribution, we investigate whether a class of order n complex differential-difference equation ω~(n)(z)~2 + [αω(z+c)-βω(z)]~2= 1 and a class of systems of order n complex differential-difference equations ■ have entire solutions with finite order or not. Our results extend and improve the results due to Gao Lingyun and Liu Kai et al.
【Fund】: 国家自然科学基金资助项目(11371149);; 广东省教育厅科研项目(2017KTECX130);; 广东金融学院科研资助项目(20170502152 15XJ01-03)
【CateGory Index】: O174.52
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